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Simplifying [9(x + 4) + -15] + -1[4(x + -5) + 9] = 0 Reorder the terms: [9(4 + x) + -15] + -1[4(x + -5) + 9] = 0 [(4 * 9 + x * 9) + -15] + -1[4(x + -5) + 9] = 0 [(36 + 9x) + -15] + -1[4(x + -5) + 9] = 0 Reorder the terms: [36 + -15 + 9x] + -1[4(x + -5) + 9] = 0 Combine like terms: 36 + -15 = 21 [21 + 9x] + -1[4(x + -5) + 9] = 0 Remove brackets around [21 + 9x] 21 + 9x + -1[4(x + -5) + 9] = 0 Reorder the terms: 21 + 9x + -1[4(-5 + x) + 9] = 0 21 + 9x + -1[(-5 * 4 + x * 4) + 9] = 0 21 + 9x + -1[(-20 + 4x) + 9] = 0 Reorder the terms: 21 + 9x + -1[-20 + 9 + 4x] = 0 Combine like terms: -20 + 9 = -11 21 + 9x + -1[-11 + 4x] = 0 21 + 9x + [-11 * -1 + 4x * -1] = 0 21 + 9x + [11 + -4x] = 0 Reorder the terms: 21 + 11 + 9x + -4x = 0 Combine like terms: 21 + 11 = 32 32 + 9x + -4x = 0 Combine like terms: 9x + -4x = 5x 32 + 5x = 0 Solving 32 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 5x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 5x = 0 + -32 5x = 0 + -32 Combine like terms: 0 + -32 = -32 5x = -32 Divide each side by '5'. x = -6.4 Simplifying x = -6.4
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